Season both sides of the chicken breast with cumin, salt, and pepper. Set aside.
Using a food processor, blender, or Magic Bullet, add the red pepper, green pepper, onion, jalapeno, garlic, cilantro, and white wine. Run until it's liquified.
Pour the green sauce into the slow cooker, then add the chicken breast.
Add the chicken broth to the slow cooker. Make sure the chicken breast is covered by green sauce and broth.
Set the slow cooker to four hours on low. After it has cooked for 3 hours, add the red potatoes. Make sure they are submerged in the liquid.
Once the four hours of cook time is up, check to make sure the potatoes are cooked through. Depending on the size of the potatoes, they might need a little more time to cook.
If the potatoes need more cook time, turn the slow cooker to high for 30 minutes.